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C₃₁×#3523 #16843456

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

992 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 55 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31)(33,36)(37,39)(40,41,45,43)(42,48,50,46)(44,51,52,47)(49,53,55,54);(40,42,45,50)(41,46,43,48)(44,49,52,55)(47,53,51,54);(32,33)(34,37)(35,36)(38,39);(40,43,45,41)(42,46,50,48)(44,51,52,47)(49,53,55,54);(32,34,35,38)(33,37,36,39)(40,44,45,52)(41,47,43,51)(42,49,50,55)(46,53,48,54)

Conjugacy classes & character table

1364 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 2255);